If Newton's Method is used to locate a root of the equation #f(x)=0# and the initial approximation is #x_1=2#, find the second approximation #x_2#?
Full question below
"Suppose that the tangent line to the curve #y=f(x)# at the point #(3,8)# has the equation #y=5-3x# . If Newton's Method is used to locate a root of the equation #f(x)=0# and the initial approximation is #x_1=2# , find the second approximation #x_2# ?"
PLEASE APPLY CALCULUS I METHODS.
I have solved the equation with my own efforts, check my answer please?
Full question below
"Suppose that the tangent line to the curve
PLEASE APPLY CALCULUS I METHODS.
I have solved the equation with my own efforts, check my answer please?
1 Answer
Nov 29, 2016
Explanation:
set information given
#f(x)=5-3x# ,#f'(x)=-3#
Newton's Method formula
- translate with
#f(x),f'(x)# #\rArrx_(n+1)=x_n-(5-3x_n)/(-3)# #x_2=x_1-(5-3x_1)/(-3)#
calculations
therefore the answer is